Atkin-Lehner |
3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20727h |
Isogeny class |
Conductor |
20727 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
149296581 = 33 · 76 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 3 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-441,-3516] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:4:1] |
Generators of the group modulo torsion |
j |
2985984/47 |
j-invariant |
L |
3.5025860841166 |
L(r)(E,1)/r! |
Ω |
1.0428076518675 |
Real period |
R |
1.6794017946857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20727c1 423g1 |
Quadratic twists by: -3 -7 |